Preprint 2001-048
Weak Stability of Non Uniformly Stable Multidimensional Shocks
Jean-Francois Coulombel
Abstract:
The aim of this paper is to investigate the
linear stability of multidimensional shock
waves that violate the uniform stability
condition derived by A. Majda. Two examples
of such shock waves are studied: (1) planar
Lax shocks in isentropic gas dynamics (2)
phase transitions in an isothermal van der
Waals fluid. In both cases we prove an
energy estimate on the resulting linearized
system. Special attention is paid to the
losses of derivatives arising from the
failure of the uniform stability condition.
- Paper:
- Available as PostScript (294 Kbytes) or
gzipped PostScript (108 Kbytes; uncompress
using gunzip).
- Author(s):
- Jean-Francois
Coulombel,
<jfcoulom@umpa.ens-lyon.fr>
- Publishing information:
-
- Comments:
-
- Submitted by:
-
<jfcoulom@umpa.ens-lyon.fr>
November 20 2001.
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Last modified: Wed Nov 21 13:04:36 MET 2001